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Finding the Fourth Proportional to 49,094.35, 67,750.65 and 27,874.07

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Solution

The fourth proportional to 49,094.35, 67,750.65 and 27,874.07 is: 38,466.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,094.35 : 67,750.65 = 27,874.07 : x
  2. Step 2: Convert to fraction form
    49,094.35/67,750.65 = 27,874.07/x
  3. Step 3: Cross multiply
    49,094.35x = 67,750.65 × 27,874.07
  4. Step 4: Simplify right side
    49,094.35x = 1,888,486,021.89
  5. Step 5: Solve for x
    x = 1,888,486,021.89/49,094.35
  6. Step 6: Final answer
    x = 38,466.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.